8 9 10 11 12 9 (y) -7 4 -3 -9 dy Let y = f (x) be the solution to the differential equation 2 = 4x + g (y) with the initial condition f (1) = 10. Selected values of g are given in the table above. What is the approximation for f (1.5) obtained by using Euler's method with a step size of 0.25 starting at æ = 1? (A 8.5 B) 11 11.75 D 12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
8
10
11
12
g (y)
-7
4
-3
-9
dy
Let y = f (x) be the solution to the differential equation
4x + g (y) with the initial condition f (1) = 10. Selected values of g are given in the table above. What is the approximation for
dx
1?
f (1.5) obtained by using Euler's method with a step size of 0.25 starting at x =
A
8.5
B
11
11.75
D
12
Transcribed Image Text:8 10 11 12 g (y) -7 4 -3 -9 dy Let y = f (x) be the solution to the differential equation 4x + g (y) with the initial condition f (1) = 10. Selected values of g are given in the table above. What is the approximation for dx 1? f (1.5) obtained by using Euler's method with a step size of 0.25 starting at x = A 8.5 B 11 11.75 D 12
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